This article is cited in 1 paper

Development and analysis of algorithms for computing optimal disturbances for delay systems

Yu. M. Nechepurenko, M. Yu. Khristichenko


Abstract: New fast algorithms for computing the maximum amplification of solution norms and optimal disturbances are proposed and justified for delay systems. The proposed algorithms were tested on a system of four nonlinear differential equations with time delay, which is a model of experimental infection caused by lymphocytic choriomeningitis virus. Results of numerical experiments are presented and discussed.

Keywords: optimal disturbances, delay-differential equations, maximum amplification, Lanczos method, alternating maximization.

DOI: 10.20948/prepr-2018-120

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